9514 1404 393
Answer:
1 5/24 + 7 22/24 = 8 27/24
Step-by-step explanation:
No change is required to the fraction on the first line:
1 5/24 = 1 5/24
The fraction on the second line can be multiplied by 2/2 to make its denominator 24.
7 11/12 = 7 22/24
The fraction on the third line is the sum of the fractions on the other two lines. It is an improper fraction. We know this because the integer portion of the sum is shown as 8, not 9, as it would be if the fraction were reduced.
5/24 +22/24 = 27/24
Then the sum is ...
1 5/24 +7 22/24 = 8 27/24
_____
If the fraction on the final line were reduced, the sum would be 9 3/24 = 9 1/8.
<h2>
Answer:</h2>
<u>A direct variation equation is of the form y = m⋅x for some constant value m</u>.
<u>For a direct variation equation passing through</u>
(x,y) = (-11,13)
13 = m × - 11
→ m = - 13/11.
so, as y = m⋅x
y = - 13/11x
<u>Hence, the direct variation equation is [C] - 13/11x</u>.
382.5 because just multiply 8.50 times 45 hours
Answer:
1. 17.27 cm
2. 19.32 cm
3. 24.07°
4. 36.87°
Step-by-step explanation:
1. Determination of the value of x.
Angle θ = 46°
Adjacent = 12 cm
Hypothenus = x
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 46 = 12/x
Cross multiply
x × Cos 46 = 12
Divide both side by Cos 46
x = 12/Cos 46
x = 17.27 cm
2. Determination of the value of x.
Angle θ = 42°
Adjacent = x
Hypothenus = 26 cm
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 42 = x/26
Cross multiply
x = 26 × Cos 42
x = 19.32 cm
3. Determination of angle θ
Adjacent = 21 cm
Hypothenus = 23 cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 21/23
Take the inverse of Cos
θ = Cos¯¹(21/23)
θ = 24.07°
4. Determination of angle θ
Adjacent = 12 cm
Hypothenus = 15cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/15
Take the inverse of Cos
θ = Cos¯¹(12/15)
θ = 36.87°
